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Finding the Fourth Proportional to 520.85, 719.73 and 396.31

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Solution

The fourth proportional to 520.85, 719.73 and 396.31 is: 547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.85 : 719.73 = 396.31 : x
  2. Step 2: Convert to fraction form
    520.85/719.73 = 396.31/x
  3. Step 3: Cross multiply
    520.85x = 719.73 × 396.31
  4. Step 4: Simplify right side
    520.85x = 285,236.20
  5. Step 5: Solve for x
    x = 285,236.20/520.85
  6. Step 6: Final answer
    x = 547.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.